For Problems 5–16, please provide the following information.

(a) What is the level of signi­ficance? State the null and alternate hypotheses.

(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population ­fits the speci­fied distribution of categories?

(e) Interpret your conclusion in the context of the application.

Snoop Incorporated is a fi­rm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data:

Using a 1% level of signi­ficance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report?

Number of Customers from Sample Percent of Customers from Snoop Report 12% 29% Customer Age (years) Younger than 14 14-18 19-23 24-28 29-33 Older than 33 135 52 40 76 128 10% 14% 24%